How do you factor # ax - ay - x² + 2xy - y²#? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 1 Answer P dilip_k May 1, 2016 #(x-y)(a-x+y)# Explanation: #ax-ay-x^2+2xy-y^2# #=a(x-y)-(x^2-2xy+y^2)# #=a(x-y)-(x-y)^2# #=(x-y)(a-x+y)# Answer link Related questions How do you factor trinomials? What is factorization of quadratic expressions? How do you factor quadratic equations with a coefficient? What are some examples of factoring quadratic expressions? How do you check that you factored a quadratic correctly? How do you factor #x^2+16x+48#? How do you factor #x^2-9x+20#? Question #3fdac How do you factor #8+z^6#? There is no GCF to be factor out, so is there another method to complete this? How do you factor #2t^2+7t+3#? See all questions in Factorization of Quadratic Expressions Impact of this question 2134 views around the world You can reuse this answer Creative Commons License